56 citations · 79 across the 10 of their papers we have counts for
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math.DS2014★ 3 cited
On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node
S. V. Gonchenko, O. V. Gordeeva, V. I. Lukjanov +1
We study main bifurcations of multidimensional diffeomorphisms having a non-transversal homoclinic orbit to a saddle-node fixed point. On a parameter plane we build a bifurcation d…
math.DS2014★ 14 cited
Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points
S. V. Gonchenko, I. I. Ovsyannikov, J. C. Tatjer
It was established in 2006 that bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with the Jacobian equal to 1 can lead to…
nlin.CD2014
Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion
I. I. Ovsyannikov, D. Turaev, S. Zelik
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion perturbation.